12240198144 has 320 divisors, whose sum is σ = 38218625280. Its totient is φ = 3860398080.

The previous prime is 12240198079. The next prime is 12240198199. The reversal of 12240198144 is 44189104221.

12240198144 is a `hidden beast` number, since 1 + 22 + 401 + 98 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12240198099 and 12240198108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43559284 + ... + 43559564.

It is an arithmetic number, because the mean of its divisors is an integer number (119433204).

Almost surely, 2^12240198144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19109312640).

12240198144 is an abundant number, since it is smaller than the sum of its proper divisors (25978427136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12240198144 is a wasteful number, since it uses less digits than its factorization.

12240198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12240198144 in words is "twelve billion, two hundred forty million, one hundred ninety-eight thousand, one hundred forty-four".